Combining Legendre's polynomials and genetic algorithm in the solution of nonlinear initial-value problems

DOI10.1155/2011/521342zbMath1235.65075OpenAlexW2167757795WikidataQ58693168 ScholiaQ58693168MaRDI QIDQ410423

Marcio Lobo Netto, Osvaldo Guimarães, José Roberto Castilho Piqueira

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/521342

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (4)

Tensor solutions in irregular domains: eigenvalue problems ⋮ Novel approach to spectral methods for irregular domains ⋮ Error upper bounds for a computational method for nonlinear boundary and initial-value problems ⋮ Dirac's formalism combined with complex Fourier operational matrices to solve initial and boundary value problems

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• Orthotropic rescaling for crack tip fields in linear piezoelectric materials
• A modified genetic algorithm for solving the inverse heat transfer problem of estimating plan heat source
• Control of flow using genetic algorithm for a circular cylinder executing rotary oscillation
• Legendre expansion method for the solution of the second-and fourth-order elliptic equations
• Direct computation of operational matrices for polynomial bases
• Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
• Differential evolution algorithms using hybrid mutation
• The MATLAB ODE Suite
• The Legendre wavelets operational matrix of integration

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